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Paper Abstract and Keywords
Presentation 2014-03-11 16:05
Coding Theorems for Shannon's Cipher System under Two New Secrecy Criteria
Shun Kikuchi, Hiroki Koga (Univ. of Tsukuba) IT2013-95 ISEC2013-124 WBS2013-84
Abstract (in Japanese) (See Japanese page) 
(in English) In this paper we consider the situation where $n$ plaintexts generated from a stationary memoryless source are encoded to a cryptogram under a key that is shared by an encoder and a decoder in advance.
We introduce three kinds of criteria on the secrecy of plaintexts and investigate respective achievable rate regions on the rates of the ciphertext and the key.
The first criterion requires that the maximum success probability of guessing the plaintext given the cryptogram is lower-bounded by a given constant in average.
In the second and the third criteria we consider a list decoder of a wiretapper for obtaining candidates of the plaintext given the cryptogram with probability close to one and require two respective properties on the size of the outputs of the list decoder.
It is shown that under the above three criteria the achievable rate regions coincide with the achievable rate region under the ordinary criterion using the conditional entropy of the plaintext given the cryptogram.
We also discuss relationships between the criteria under a certain assumption.
Keyword (in Japanese) (See Japanese page) 
(in English) Information-theoretic secrecy / Shannon's cipher system / guessing secrecy / list decoder / / / /  
Reference Info. IEICE Tech. Rep., vol. 113, no. 483, IT2013-95, pp. 261-268, March 2014.
Paper # IT2013-95 
Date of Issue 2014-03-03 (IT, ISEC, WBS) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
and
reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF IT2013-95 ISEC2013-124 WBS2013-84

Conference Information
Committee ISEC IT WBS  
Conference Date 2014-03-10 - 2014-03-11 
Place (in Japanese) (See Japanese page) 
Place (in English) Nagoya Univ., Higashiyama Campus 
Topics (in Japanese) (See Japanese page) 
Topics (in English) joint meeting of IT, ISEC, and WBS 
Paper Information
Registration To IT 
Conference Code 2014-03-ISEC-IT-WBS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Coding Theorems for Shannon's Cipher System under Two New Secrecy Criteria 
Sub Title (in English)  
Keyword(1) Information-theoretic secrecy  
Keyword(2) Shannon's cipher system  
Keyword(3) guessing secrecy  
Keyword(4) list decoder  
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1st Author's Name Shun Kikuchi  
1st Author's Affiliation University of Tsukuba (Univ. of Tsukuba)
2nd Author's Name Hiroki Koga  
2nd Author's Affiliation University of Tsukuba (Univ. of Tsukuba)
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Speaker Author-1 
Date Time 2014-03-11 16:05:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2013-95, ISEC2013-124, WBS2013-84 
Volume (vol) vol.113 
Number (no) no.483(IT), no.484(ISEC), no.485(WBS) 
Page pp.261-268 
#Pages 8 
Date of Issue 2014-03-03 (IT, ISEC, WBS) 

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